Greatest Common Factor of 722/80, 817/42, 558/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 722/80, 817/42, 558/10

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 722/80,817/42,558/10

Given fractions are 722/80,817/42,558/10

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 722,817,558

Greatest Common Factor of Numerators i.e. GCF of 722,817,558 is 1 .

LCM of Denominators means LCM of 80,42,10 as per the given fractions.

LCM of 80,42,10 is 1680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 722,817,558

GCF of Fractions 722/80,817/42,558/10 is 1/1680

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 722,817,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,817,558 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 722,817,558 . The biggest common factor number is the GCF number.
So the greatest common factor 722,817,558 is 1.

Lets's calculate LCM of 80,42,10

2 80, 42, 10
5 40, 21, 5
8, 21, 1

∴ So the LCM of the given numbers is 2 x 5 x 8 x 21 x 1 = 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680

Therefore, the GCF of Fractions 722/80,817/42,558/10 is 1/1680

Least Common Multiple of 80,42,10 with GCF Formula

Least Common Multiple of 80,42,10 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 80,42,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,42,10) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(80,42,10) x common factors =2 x 10 = 20

LCM(80,42,10) = ( 80 × 42 × 10 ) / 20

LCM(80,42,10) = 33600 / 20

LCM(80,42,10) = 1680


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 722/80, 817/42, 558/10

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 722/80, 817/42, 558/10?

Answer: GCF of Numerators as per given numbers 722/80, 817/42, 558/10 is

GCF of Numerators i.e. for 722,817,558 is 1

LCM of denominators i.e. for 80,42,10 is 1680.

Thus, GCF of Fractions is 1/1680.Finally, GCF of Fractions for 722/80, 817/42, 558/10 is 1/1680.